126090944 has 56 divisors (see below), whose sum is σ = 289486848. Its totient is φ = 53372160.

The previous prime is 126090941. The next prime is 126090961. The reversal of 126090944 is 449090621.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×126090944² = 31797852317622272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (126090941) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35489 + ... + 38879.

It is an arithmetic number, because the mean of its divisors is an integer number (5169408).

Almost surely, 2^126090944 is an apocalyptic number.

126090944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 126090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144743424).

126090944 is an abundant number, since it is smaller than the sum of its proper divisors (163395904).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

126090944 is an equidigital number, since it uses as much as digits as its factorization.

126090944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3483 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 126090944 is about 11229.0223973416. The cubic root of 126090944 is about 501.4503807235.

The spelling of 126090944 in words is "one hundred twenty-six million, ninety thousand, nine hundred forty-four".